Mathematical Logic And Boolean Algebra Question 25

$ \tilde{\ }(p\vee q)\vee (\tilde{\ }p\wedge \tilde{\ }q) $

Options:

q

p

~p

~q

Show Answer

Answer:

Correct Answer: C

Solution:

$ \sim (p\vee q)\vee (\sim p\wedge q)\equiv (\sim p\wedge \sim q)\vee (\sim p\wedge q) $ $ \equiv \sim q\wedge (p\wedge q) $ $ \equiv \sim q\wedge (p\wedge q) $

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